And he seems to have set his sights on the former Massachusetts Governor. Which may seem a little weird since Romney said he's not interested in running for president this election.

"There are no circumstances, I can foresee, where that could possibly happen. ... I'm not running for president, and I won't run for president," Romney told Matt Lauer on the "Today" show.

But The Washington Post reports Thursday that Kristol met with Romney in Washington, D.C., to discuss the possibility of an independent campaign with him or at least to get his support for the idea if Kristol finds someone else willing to run.

Romney recently stated that he does not plan to vote for Trump or the Democratic front-runner Hillary Clinton.